Board Exam Review - Set 2B

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Practice Exams ChE 26

1.Iftherootsoftheequationarezero,thentheyareclassifiedasa.conditionalsolutionb.extraneousrootsc.hypergolicsolutiond.trivialsolutione.noneoftheabove

2.Thesumoftheinterioranglesofapolygonis2700degrees.Howmanysidesarethere?a.15b.16c.17d.18e.noneoftheabove

3.Thevolumeofasphereisincreasingattherateof6cm^3/hr.Atwhatrateisitssurfaceareaincreasingwhenradiusis40cm?a.0.4sqcm/hrb.0.3sqcm/hrc.0.2sqcm/hrd.0.9sqcm/hr

4.WhathorizontalforcePcanbeappliedtoa100kgblockinalevelsurface with a coefficient of friction of 0.20 that will cause anaccelerationof2.5m/s^2?a.446.2Nb.224.5Nc.53.8Nd.343.5N

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e.noneoftheabove

5.Anobjectfallsfromaheightof92mandstrikesthegroundwithaspeedof19m/s.Whatistheacceleration?a.1.96m/s^2b.9.81m/s^2c.x+y=3d.3x+4y=3e.2y33x=11

6.Acableweighing60N, is suspendedbetween2supportson thesamelevelat300mapart.Thesagis60.0m.Computethedistanceofthelowestpointofthecablefromthegroundlevel.a.188.2mb.196.8mc.205.5md.200.5me.noneoftheabove

7.Thevolumeofanysolidof revolution isequal to thegeneratingareatimesthecircumferenceofthecircledescribedbythecentroidofthearea.Thisisknownasa.1stPropositionofPappusb.2ndPropositionofPappusc.Simpsonsruled.Cavaliersprinciple

8.Thecurverepresentedbytheequationr=6isa.acircleb.parabolac.ellipsed.linee.noneoftheabove

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1.ThecostofaproductisafunctionofthequantityxoftheproductisgivenbytherelationC(x)=x^240000x+50.Findthequantityforwhichthecostisminimum.a.1000b.2000c.15000d.3000e.noneoftheabove

2.Whenall oddnumbers from 1 to 101 is added,whatwill be thesum?a.2500b.2601c.2510d.5601e.noneoftheabove

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3.Ify=x/2+[sin(2x)]/4findxforwhichdy/dx=0.a.Pi/4b.Pi/2c.Pi/3d.Pi/6e.Pi/12

4.Whichofthefollowingisnotfactorable?a.2m^2+mn+3n^2b.x^2x+12c.s^121d.t^2+25e.noneoftheabove

5.Atankcontains100galwater.Asaltsolutioncontaining2lbsaltpergalflowsinatarateof3gpmandwellstirredtankflowsoutatthesamerate.Theconcentrationofthesolutioninsidethetankafter1hrisa.11lb/galb.1.18lb/galc.1.18lbd.1.8lb/gale.noneoftheabove

6.75studentswenttoSMWestwheretheycouldwatch3films(A,B,&C).20ofthemwatchedall3films.55ofthemwatchedatleast2films.BecauseitwasQCday,eachfilmcostonlyP5.00perhead.Ifthe total receipt was P700, howmany students did not watch anymovie?a.9b.11c.10d.12e.noneoftheabove

7.Whatisthevalueofxforwhichy=2x^33x^236x+25willhaveaninflectionpoint?a.1/3b.c.d.1/5e.2/3

8.Asteelrodisstretchedbetween2rigidwallsandcarriesatensileloadof5000Nat20degC.WhatTwillthestressbezero?Thecrosssectionalareais150mm2.a.34.2degCb.45.5degCc.30.0degCd.42.9degCe.noneoftheabove

9.Thelocusofapointthatmovesothatitsdistancefromfixedpointandfixedlineisalwaysequalisknownas:a.parabolab.hyperbolac.ellipsed.circle

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10. The area of a triangle are formed by points A(4,3), B(7,4),C(3,6)isa.28squnitsb.38squnitsc.48squnitsd.58squnitse.noneoftheabove



1.AseriesofequalquarterlyreceiptsofP1000extendsoveraperiodof5yrs.Whatisthepresentworthofthisquarterlypaymentseriesati=8%,compoundedcontinuously?a.16,351b.15,971c.6,320d.15,345e.noneoftheabove

2.Linesdrawnfromthefocustoanypointofanellipsearecalledthefocalradiioftheellipse.Findtheequationofthefocalradiidrawntothepoint(2,3)onetheellipse3x^2+4y^2=48.a.3x4y=6b.x4y=8c.44y=10d.3x3x=3e.3x4y=6

3.IsthegraphicalvisualizationofthemomentequationplottedonMxaxisa.Maxwelldiagramb.Forcebodydiagramc.Sheardiagramd.Momentdiagrame.noneoftheabove

4.AhousewifeboughtabrandnewwashingmachinecostingP12,000ifpaidincash.However,shecanpurchaseitoninstallmentbasistobepaidwithin5years.Ifmoneyisworth8%compoundedannually,whatisheryearlyamortizationifallpaymentaretobemadeatthebeginningofeachyear?a.2782.55b.2400.00c.2872.58d.2827.55e.noneoftheabove

5.Thecurverepresentedbytheequationr=6isa.acircleb.parabolac.ellipsed.line



e.noneoftheabove

6.Ifthe1stand4thtermsofaharmonicprogressionare1/3and1/9,respectively,findthe8thterm.a.1/17b.1/11c.1/14d.1/13e.1/19

7.A0.3kgmassattachedtoa1.5mlongstringiswhirledaroundahorizontal circle at a speed of 6 m/s. Considering a centripetalacceleration,whatisthetensioninthestring?a.7.2Nb.720Nc.24Nd.240Ne.noneoftheabove

8.Toraisemoneyforyourbusiness,youneedtoborrowP20,000fromalocalbank.Ifthebankasksyoutorepaytheloanin5equalannualinstallmentsofP5548.19,determinethebanksannualinterestrateonthisloantransaction.a.11%b.12%c.4.5%d.27.74%e.noneoftheabove

9.Acastironcolumnsupportsanaxialcompressiveloadof250kN.Determinetheinsidediameterofthecolumnifitsoutsidediameteris200mmandthelimitingcompressivestressis50Mpa.a.150mmb.183.4mmc.253.34mmd.143.2mme.noneoftheabove

10. Super Ferry allowed A kg of baggage for free with additionalchargeforbaggageinexcessofthelimit.Thecombinedweightofthebaggages of passengers on one particular trip was 105 kg. Onepassenger paid P100 extra while the other paid P150 extra. A 3rdpassengerinthesametriphas105kgbaggageandwaschargedP650extra.FindAinkg.a.40b.60c.50d.70e.noneoftheabove





1.Whatistheareaofarhombuswhosediagonalsare10cmand16cmrespectively?a.160sqcmb.80sqcmc.100sqcmd.120sqcme.noneoftheabove

2.Intwoyears,ArawillbeasoldasRicoisnow.In26years,RicowillbetwiceasoldasAraisnow.HowoldisAranow?a.27b.28c.29d.30e.40

3.(x^2+3y)dxxdy=0isa.linearinxb.nonlinearinyc.linearinyd.variableseparablee.noneoftheabove

4.Asequenceofnumberswhereeverytermisobtainedbyaddingalltheprecedingtermssuchas1,5,14and30iscalleda.Triangularnumberb.Eulersnumberc.Pyramidalnumberd.Tetrahedralnumbere.noneoftheabove

5.Itiscausedbyforcesactingalongorparalleltothearearesistingtheforces.a.shearingstressb.bearingstressc.tensilestressd.bendingstresse.noneoftheabove

6.WhatisthefutureworthofanequalquarterlypaymentseriesofP2,500for10yearsiftheinterestrateis9%compoundedmonthly?a.F=P158,653b.F=P154,718c.F=P151,930d.F=P160,058e.noneoftheabove

7.Akiteataheightof60ftismovinghorizontallyatarateof5ft/saway from a boywho flies it.How fast is the cord being releasedwhen100ftareout?a.6ft/sb.8ft/sc.2ft/sd.4ft/se.noneoftheabove

8.Findthetotalwaterpressureonaverticalcirculargate2.0mindiameter,withitstop3.5metersbelowthewatersurface.a.169.5kNb.107.9kN



c.138.7kNd.186.5kNe.noneoftheabove

9.Findtheareaofacirclewhoseequationis:x^2+y^2+4x+6y23=0.a.36pib.30pic.40pid.45pie.noneoftheabove

10.Acardriesoffahorizontalembankmentandland11mfromtheedge of the embankment in a field that is 3 m lower than theembankment.Withwhatspeedwasthecartravelingwhenitlefttheembankment?a.15m/sb.14.1m/sc.14.1m/sd.13.99m/se.noneoftheabove



1.Findtheequationofthelinepassingthrough(1,2)and(3,5).a.2x5y12=0b.x+y=7c.3x11=2yd.3x4y+11=0e.3x4y11=0

2. The square of the sum of two positive numbers is 45 and theirproductis6.thesumoftheirsquaresis?a.44b.33c.22d.55e.noneoftheabove

3.Youhavebeenofferedacreditcardbyanoilcompanythatchargesinterestat1.8%/monthcompoundedmonthly.Whatistheeffectiveannualinterestratethatthisoilcompanycharges?a.21.6%b.23.87%c.22.34%d.18%e.noneoftheabove

4. A machine purchased for P45,000 had a depreciable life for 4years.ItwillhavenexpectedsalvagevalueofP5,000attheendofthedepreciablelife.Usingthestraightlinemethod,whatisthebookvalueattheendyear2?



a.27,500b.35,000c.20,000d.25,000e.noneoftheabove

5.A100ohmresistor,a0.0001Fcapacitoranda0.1Hinductorareconnected in series to a 120V rms generator. If the generatorfrequencyis60Hz,findtheimpedanceandeffectivecurrent.a.101ohm,1.19Ab.105ohm,1.5Ac.111ohm,1.8Ad.116ohm,2.15Ae.noneoftheabove

6.Themajorandminoraxisofanellipsemeasures10and8unitsrespectively.Thedistancebetweenthefociisa.3b.6c.5d.7e.noneoftheabove

7.When0.0019448iscorrectedto3significantfigures,itbecomesa.0.00190b.0.002c.0.00194d.0.00195e.noneoftheabove

8. Howmany sides has a polygon if the sum of interior angles is2520??a.12b.15c.16d.14e.noneoftheabove

9.Itisastressthatactstangenttothesurfaceofthecylinder.a.longitudinalstressb.bearingstressc.tangentialstressd.shearingstresse.noneoftheabove

10.Mixturesofoxygenandheliumcanbetoleratedbydivers.Whatproportion should oxygen be if the diver works 5.0 m below thesurfaceandthepartialpressureofoxygenshouldbe0.30atm?a.5.12%b.4.88%c.6.00%d.5.86%e.noneoftheabove





1. A body whose temperature is 180 degF is immersed in a liquidwhichiskeptataconstanttemperatureof60degF.Inoneminute,thetemperatureoftheimmersedbodyis120degF.Thetimeitwilltakethebodystemperaturetodecreaseto90degFisa.2minb.3minc.1.5mind.2hrse.noneoftheabove

2.Aline2x+ky11=0isperpendicularto5x3y+4=0.Thevalueofkisa.4/3b.3/5c.5/12d.10/3e.noneoftheabove

3.Thearea in thesecondquadrantof thecirclex^2+y^2=36 isrevolvedabouttheliney+10=0.Whatisthevolumegenerated?a.2208.53b.2218.33c.2228.83d.2233.43

4.Itmeasurestheresistancetotwistingthemember.a.forceb.shearc.torqued.stresse.noneoftheabove

5.Findtheareaofthetrianglewhoseverticeslieatthepoints(4,1),(6,2)and(2,5).a.4b.6c.5d.7e.noneoftheabove

6.A seriesof equal semiannualpaymentsofP1000 for3 years isequivalent to what present amount at an interest rate of 12%compounded annually? (All answers are rounded to the nearestpeso).a.4944b.4500c.4804d.5401e.noneoftheabove

7.Inapileoflogs,eachlayercontains1morelogthanthelayeraboveandthetoplayercontains1log.Ifthereare171logs,howmanylayersarethere?a.20b.16c.18d.14



e.noneoftheabove

8.Thedriver of a car traveling at 24m/s sees a cowon the road.Calculate the stoppingdistance if the drivers reaction timebeforeapplying thebrakes is0.75 sec and the cars deceleration after thebrakesareappliedis3.6m^2/s.a.89.0mb.85.5mc.93.0md.98.0me.noneoftheabove

9.Agardenhosewithacrosssectionalareaof2sqcmhasflowof200cm^3/s.WhatItheaveragevelocityofwater?a.1.5m/sb.2.5m/sc.2.0m/sd.1.0m/se.noneoftheabove

10. A series of equal quarterly deposits of P1000 extends over aperiodof3years.Whatisthefutureworthofthisquarterlydepositseriesat%interestcompoundedmonthly?a.13,160b.13,615c.12,590d.13,112e.noneoftheabove



1. A water tank is 8m in diameter and 12m high. If the tank iscompletely filled, determine the minimum thickness of the tankplatingifthestressislimitedto40MPa.a.12.5mmb.13.7mmc.11.8mmd.14.1mme.noneoftheabove

2.Whichofthefollowingisnotaunitofwork?a.Joulesb.KWatthrc.Ergd.Sluge.noneoftheabove

3.AdebtofP5000with12%interestcompoundedsemiannuallyistobeamortizedbyequalsemiannualpaymentsoverthenext3yrsthefirstdueis6months.Whatwillbethesemiannualpayment?a.1006.82b.1061.81



c.1016.82d.1826.82e.noneoftheabove

4.Howmanydiagonalsdoesatensidedconvexpolygonhave?a.45b.40c.35d.30e.noneoftheabove

5. It is defined as the summation ofmoments taken about an axispassing through the centroid of the crosssection of all loads andreactions applied to the portion of the beamon either side of thecrosssection.a.bendingmomentb.shearc.deformationd.elongatione.noneoftheabove

6. The cost C of a product is a function of the quantity x of theproduct:C(x)=x^24000x+50.Findthequantityforwhichthecostisminimum.a.3000b.1000c.2000d.1500

7. You obtained a loan of P20000 to finance the purchase of anautomobile.Basedonmonthlycompoundingfor24months,theendofthe month equal payment was figured out to be P922.90.Immediatelyaftermakingthe12thpayment,youdecideyouwanttopayoff the loanin lumpsum.Thesizeofthis lumpsumamount isnearesttowhichofthefollowing:a.10,498b.12,044c.11,075d.12,546e.noneoftheabove

8.Thelengthofthesidesofatriangleare12,15,18.Acircletangenttothelongestandshortestsidehasitscenterontheremainingside.Findthedistancefromthecenterofthecircletothemidpointofthesidewherethecenterofthecirclelies.a.2.3b.1.5c.3.4d.4.6e.noneoftheabove

9.Itisthehighestordinateonthestressstraincurve.a.Ultimatestrengthb.Yieldstrengthc.Rupturepointd.Proportionallimite.noneoftheabove

10.IfyouinvestP2000todayinasavingaccountataninterestrateof 12% compounded annually, how much principal and interest



wouldyouaccumulatein&years?a.4242b.2300c.4422d.1400e.noneoftheabove



1. In a group of 40 executives 27 prefer to drink SanMiguel beerwhile25BeernaBeer.Howmanyprefertodrinkboth?a.10b.11c.12d.13e.noneoftheabove

2. In howmany ways can a committee of three consisting of twoChemical Engineers and one Mechanical Engineer can be formedfromfourChemicalEngineersand3MechanicalEngineers?a.18b.32c.64d.noneoftheabove

3.Heisthescientistthatintroducedaconstantofproportionalityin1807commonlyknownasmodulusofelasticity.a.ThomasJeffersonb.ThomasYoungc.AlbertEinsteind.FerdinandSingere.noneoftheabove

4.Whichofthefollowingstatementsisincorrect?a. If two investors are considering the same project, the paybackperiodwillbelongerfortheinvestorwiththehigherMARR.b. If you were to consider the cost of funds in payback periodcalculation, you would have to wait longer as you increase theinterestrate.c.Consideringthecostoffundsinapaybackcalculationisequivalenttofindingthetimeperiodwhentheprojectbalancebecomeszero.d.Thesimplicityof thepaybackperiodmethods isoneof itsmostappealing qualities even though it fails to measure projectprofitability.e.noneoftheabove

5.Ifthemomentofinertiaofacircleis500m^4,itsareisnearestto:a.74sqmb.80sqmc.76sqmd.78sqme.98sqm



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6.Howmanysignalseachconsistingof6flagshanginaverticallinecanbeformedfrom4identicalredflagsand2identicalblueflags?a.5b.10c.15d.20e.noneoftheabove

7.Whatpart of90%alcoholmustbe removedand replacedby anequalamountofpurealcoholtomakea95%alcoholsolution?a.5%orlessb.5%c.between5%and10%d.50%e.noneoftheabove

8.Water is pouring into a conical vessel 15 cm deep and having aradiusof3.75cmacrossthetop.Iftherateatwhichthewaterrisesis2cm/s,howfastisthewaterflowingintotheconicalvesselwhenthewateris4cmdeep?a.4.57cu.m/sb.6.28cu.m/sc.2.37cu.m/sd.5.73cu.m/s

9.Ahotairballoonrisingstraightupfromalevelfieldistrackedbyarangefinder5000ft fromthepointof liftoff.At themoment, therangefinderselevationangleis45?.Theangleisincreasingatarateof0.14rad/min.Howfastistheballoonrising?a.120ft/minb.160ft/minc.130ft/mind.140ft/mine.noneoftheabove

10. It is the surface generated by moving a straight line (calledgenerator)whichisalwaysparallel toa fixedlineandwhichalwaysintersectatafixedplanecurveis:a.cylindricalsurfaceb.paraboloidc.locusofapointd.sphericalsurface


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